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Simplifying 7x + -5 = 5(x + 11) + 2x + -10 Reorder the terms: -5 + 7x = 5(x + 11) + 2x + -10 Reorder the terms: -5 + 7x = 5(11 + x) + 2x + -10 -5 + 7x = (11 * 5 + x * 5) + 2x + -10 -5 + 7x = (55 + 5x) + 2x + -10 Reorder the terms: -5 + 7x = 55 + -10 + 5x + 2x Combine like terms: 55 + -10 = 45 -5 + 7x = 45 + 5x + 2x Combine like terms: 5x + 2x = 7x -5 + 7x = 45 + 7x Add '-7x' to each side of the equation. -5 + 7x + -7x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 0 = 45 + 7x + -7x -5 = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 = 45 + 0 -5 = 45 Solving -5 = 45 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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